| Article ID: | iaor20163512 |
| Volume: | 244 |
| Issue: | 2 |
| Start Page Number: | 571 |
| End Page Number: | 581 |
| Publication Date: | Sep 2016 |
| Journal: | Annals of Operations Research |
| Authors: | Sugeno Michio, Torra Vicen, Narukawa Yasuo |
| Keywords: | belief functions, fuzzy theory, differential equations, Choquet integral |
Some results about the calculation of the Choquet integral of a monotone function are presented. The construction of monotone functions from non‐monotone ones that lead to the same Choquet integral is studied. The paper is completed with the application of these results to the continuous WOWA operator, as well as with some differential equations also applied to the determination of the weight in this operator.